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Finding the Fourth Proportional to 76,265.82, 105,243.03 and 42,725.34

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Solution

The fourth proportional to 76,265.82, 105,243.03 and 42,725.34 is: 58,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,265.82 : 105,243.03 = 42,725.34 : x
  2. Step 2: Convert to fraction form
    76,265.82/105,243.03 = 42,725.34/x
  3. Step 3: Cross multiply
    76,265.82x = 105,243.03 × 42,725.34
  4. Step 4: Simplify right side
    76,265.82x = 4,496,544,239.38
  5. Step 5: Solve for x
    x = 4,496,544,239.38/76,265.82
  6. Step 6: Final answer
    x = 58,958.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.